JSFiddle - React, Tailwind, and code Playground

HTML

<div id="arena">
    <div id="draggable"/>
</div>

CSS

#arena {
    position: relative;
    width: 300px;
    height: 300px;
    border: 1px solid #ccc;
}

#draggable {
    width: 20px;
    height: 20px;
    background: red;
    position: absolute;
    top: 50%;
    left: 50%;
    margin-left: -10px;
    margin-top:  -10px;
}

JavaScript

var halfDist = 150, // the mouse distance at which the mouse has moved twice as far as the draggable
    centerX = 150,
    centerY = 150;

$("#draggable").draggable({
    drag: function(event, ui) {
        var x, y, dist, ratio, factor;
        x = ui.position.left - centerX;
        y = ui.position.top - centerY;
        dist = Math.sqrt(x*x + y*y);
        ratio = dist / halfDist
        factor = 1 / (ratio + 1);
        x *= factor;
        y *= factor;
        ui.position.left = x + centerX;
        ui.position.top  = y + centerY;
    }
});